All categories

3 years ago

Determine whether the two questions are equivalent. If so, name the property that is applied. 54 - (30 - 8) and (54-30) - 8

Mathematics

1 answer:

Sphinxa [80]3 years ago

3 0

Answer:

The two equations are not equivalent and no property is used.

Step-by-step explanation:

54 - (30 - 8) ... (i)

(54 - 30) - 8 ... (ii)

Solving (i) and applying PEMDAS:

We open the brackets first;

54 - 30 + 8 = 54 + 8 - 30 = 32

Solving (ii) and applying PEMDAS:

We open the brackets first;

54 - 30 = 24

24 - 8 = 16

You might be interested in

What is the area of this shape?

suter [353]

Step-by-step explanation:

There are four quarter circles, each with radius 9 ft. Together, they form a full circle. There are also four squares, each with side length 9 ft.

A = πr² + 4s²

A = π (9 ft)² + 4 (9 ft)²

A ≈ 578.469 ft²

6 0

3 years ago

(10v^4 + 30v^3 + 2v^2) / 10v

Zina [86]

Given expression is

$\frac{10v^4+30v^3+2v^2}{10v}$

Now we need to simplify this expression. We can begin by factoring numerator and denominator if possible.

$= \frac{2v^2(5v^2+15v+1)}{10v}$

divide numerator and denominator both by 2v

$= \frac{v(5v^2+15v+1)}{5}$

$= \frac{5v^3+15v^2+1v}{5}$

Hence final answer is $\frac{5v^3+15v^2+1v}{5}$

Or you can also keep factored form

$\frac{v(5v^2+15v+1)}{5}$

3 0

3 years ago

Santiago wants to walk at least 500 miles before the end of this year. He has already walked 437 miles, and there are 36 days le

Mrrafil [7]

Answer:

437+36x>=500

Step-by-step explanation:

This basically shows that 437 plus the x miles he will walk per day for 36 will total to more than or equal to 500

7 0

3 years ago

Read 2 more answers

What is the equation in standard form of the line that passes through the point (4,-8) and 2 has the slope of 1/4

guapka [62]

Answer:

x-4y=36

Step-by-step explanation:

standard form is Ax+By=C

4 0

2 years ago

Find sin 0, where is the angle shown.<br> Give an exact value, not a decimal approximation.

hodyreva [135]

Answer:

sinθ = $\frac{24}{25}$

Step-by-step explanation:

By applying Pythagoras theorem in the given triangle,

Hypotenuse² = (Leg 1)² + (Leg 2)²

= (24)² + 7²

Hypotenuse = √625 = 25

By applying sine rule in the given triangle,

sinθ = $\frac{\text{Opposite side}}{\text{Hypotenuse}}$

Since, measure of opposite side = 24

Measure of hypotenuse = 25

Therefore, sinθ = $\frac{24}{25}$ will be the answer.

7 0

3 years ago